A coupled system of singularly perturbed parabolic reaction-diffusion equations

作者：Gracia J L^*; Li**ona F J; O'Riordan E

来源：Advances in Computational Mathematics, 2010, 32(1): 43-61.

DOI：10.1007/s10444-008-9086-3

• Singularly perturbed parabolic reaction-diffusion equations
• Layer-adapted piecewise-uniform mesh
• Singular perturbation parameters

In this paper systems with an arbitrary number of singularly perturbed parabolic reaction-diffusion equations are examined. A numerical method is constructed for these systems which involves an appropriate layer-adapted piecewise-uniform mesh. The numerical approximations generated from this method are shown to be uniformly convergent with respect to the singular perturbation parameters. Numerical experiments supporting the theoretical results are given.

• 出版日期2010-1